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71050824964 = 22721789263911
BaseRepresentation
bin100001000101011110…
…1011000110100000100
320210101122122212201201
41002022331120310010
52131003002344324
652350145432244
75063464022200
oct1021275306404
9223348585651
1071050824964
112815037a459
121192a93b684
13691406b582
1436203d3b00
151cac9d1444
hex108af58d04

71050824964 has 144 divisors (see below), whose sum is σ = 155627619840. Its totient is φ = 28198410240.

The previous prime is 71050824917. The next prime is 71050824973. The reversal of 71050824964 is 46942805017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77991669 + ... + 77992579.

It is an arithmetic number, because the mean of its divisors is an integer number (1080747360).

Almost surely, 271050824964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71050824964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77813809920).

71050824964 is an abundant number, since it is smaller than the sum of its proper divisors (84576794876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71050824964 is a wasteful number, since it uses less digits than its factorization.

71050824964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 71050824964 in words is "seventy-one billion, fifty million, eight hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 89 98 119 178 196 238 263 356 476 526 623 833 911 1052 1246 1513 1666 1822 1841 2492 3026 3332 3644 3682 4361 4471 6052 6377 7364 8722 8942 10591 12754 12887 15487 17444 17884 21182 23407 25508 25774 30974 31297 42364 44639 46814 51548 61948 62594 74137 81079 89278 93628 108409 125188 148274 162158 163849 178556 216818 219079 239593 296548 324316 327698 397919 433636 438158 479186 567553 655396 758863 795838 876316 958372 1135106 1146943 1378343 1517726 1591676 1677151 2270212 2293886 2756686 2785433 3035452 3354302 3972871 4073081 4587772 5513372 5570866 6708604 7945742 8146162 9648401 11141732 11740057 15891484 16292324 19296802 19498031 21323777 23480114 28511567 38593604 38996062 42647554 46960228 57023134 67538807 77992124 85295108 114046268 135077614 149266439 199580969 270155228 298532878 362504209 399161938 597065756 725008418 798323876 1044865073 1450016836 2089730146 2537529463 4179460292 5075058926 10150117852 17762706241 35525412482 71050824964